Question

A coin is flipped, and a number cube is rolled. What is the probability of getting heads on a coin and getting a number greater than five on the number cube?A) 1/12B) 1/6C) 1/4D) 1/3

Answer 1

The two events are independent. This means that the combined probability can be calculated using the formula:

$P(A\text{ }and\text{ }B)=P(A)\cdot P(B)$

The probability of getting a head on a coin flip is given to be:

$P(A)=\frac{1}{2}$

while, assuming the number cube has 6 sides, the probability of getting a number greater than five will be:

$P(B)=\frac{1}{6}$

Therefore, the probability of both events will be:

$\begin{gathered} P(A\text{ }and\text{ }B)=\frac{1}{2}\cdot\frac{1}{6} \\ P(A\text{ }and\text{ }B)=\frac{1}{12} \end{gathered}$

OPTION A is correct.